Find the equations to the altitudes of the triangle whose angular points are `A(2,-2),B(1,1)` and `C(-1,0)dot`

Explanation

To find the equations of the altitudes of the triangle with vertices \( A(2, -2) \), \( B(1, 1) \), and \( C(-1, 0) \), we will follow these steps:

### Step 1: Find the slopes of the sides of the triangle.

1. **Slope of line BC**:
\[ \text{slope}_{BC} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{-1 - 1} = \frac{-1}{-2} = \frac{1}{2} \]
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